ML16256A191
| ML16256A191 | |
| Person / Time | |
|---|---|
| Site: | Waterford  |
| Issue date: | 08/25/2016 |
| From: | Entergy Operations |
| To: | Office of Nuclear Reactor Regulation |
| Shared Package | |
| ML16256A115 | List:
|
| References | |
| W3F1-2016-0053 | |
| Download: ML16256A191 (25) | |
Text
WSES-FSAR-UNIT-3 3.9D-1 APPENDIX 3.9D NSSS COMPUTER CODE VERIFICATION
WSES-FSAR-UNIT-3 3.9D-2 APPENDIX 3.9D TABLE OF CONTENTS Attachment I - BCH 10192 Verification Attachment II - BC 10286 Verification Attachment III -, CE SHOCK Verification
WSES-FSAR-UNIT-3 3.9D-3 ATTACHMENT I TABULATION OF
SUMMARY
OF VERIFICATION RESULTS BCH 10192 NOZZLE PRIMARY PLUS SECONDARY STRESS RANGE CHECK, PEAK STRESS CALCULATION AND MAXIMUM USAGE FACTOR LOCATION
WSES-FSAR-UNIT-3 3.9D-4 II.
Sample Problem - (Hand Solution)
Cut F The required input quantities as given on sheet for this cut are listed on sheet as printed by the program. A sample calculation to show the inside and outside primary plus secondary stress validity is shown below.
Outside Wall - Trans Al:
x xpress xth xpipe
=
+
+/-
.3) 2(1 1.63
(-19.1)
.231 1.86
)
1.034(2.25
+/-
=
x =.59, -2.67 th
+
press
=
Note the radial Gradient
.3)
(2(1
(-19.1)
.231
.641
.863(2.25)
=
Sx = S = 3.15 is printed out by the program.
= 4.45 ksi r = 0 Inside Wall - Trans Al:
.3) 2(1 1.63
(-19.1)
.231 1.887
+
)
2.496(2.25
=
+/-
x
= 5.98, 2.72
.3) 2(1
(-19.1)
.231
+
.299
+
)
3.435(2.25
=
Note the radial Gradient Sx = S = -3.15
= 4.88 r = -2.25
=.13 Principal Stresses:
S1 = 5.98 + 4.88 + 1/ 2 (5.98-4.88) + 4(.13) = 6.00 2
2 2
S2 = 5.43 -.57 = 4.86 S3 = -2.25
WSES-FSAR-UNIT-3 3.9D-5 Stress Intensities:
S1 - S2 = 1.13 ksi S1 - S3 = 8.25 ksi S2 - S3 = 7.11 ksi The 3 Sm stress range check is made without round off. It is tabulated for all three stress intensities for the outside and inside surfaces, first for + pipe loads and then for (-) pipe.
Peak Stresses Outside 1.0(-2.67)
(.59),
1.0
=
sec
=
]
[
Kt
+
xpri xpeak
Thlinear xbending axial
]1 (K
+
-[1
)1 (K
+
+
=
t t
+/-
pipe th press peak ksi 4.45 sec=
+
=
pri
r = 0 Inside
1
]
T E
[
K
=
2
+
sec t
+
xpri xpeak
.88 2.72 3.82
=
(-10.1)]
.7
.231
+
1.44[5.98
=
Note the radial gradient Sx = S = -3.33 is printed by the program Linear T]
1
[
)]
1
(
+
[1
+
)1 (K
+
th t
pipe th peak
+
+
+/-
=
E Kt xbending press 3.33]
[-3.15
.3(.44)]
+
[1
+
2.7)
(.44)(.3)(
+
.299
+
7.73
=
= 1.04 r = -2.25 Principal stresses and stress intensities are taken as the stress components calculated above since shear is generally small.
Usage Factor
WSES-FSAR-UNIT-3 3.9D-6 For the example given no significant usage was developed, however, it can be seen that the mechanism is performed properly. Starting with the outside wall each stress intensity is arranged in descending order then each is arranged for the inside wall, (+pipe). This is then repeated for each intensity for (-) pipe. Pairing the max intensity with the min can then be made in each case permitting computation of the stress range and alternating stress. The program will help to locate the maximum usage factor however, its limitation have been duly noted on page 1.
WSES-FSAR-UNIT-3 3.9D-7 TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIES AT THE OUTSIDE WALL OF CUT F TOTAL STRESSES PRINCIPAL STRESSES STRESS INTENSITIES TRN SXC STG SRO TXTO S1 S2 S3 S1-S2 S1-S2 S2-S3 A1 1
.59 4.45 0.00
.13
.59 4.46 0.00 3.87
.59 4.46
-2.67 4.45 0.00
.13
-2.07 4.45 0.00
-7.12
-2.67 4.45 B1 1
-1.58
-5.49 0.00
.13
-1.58
-5.50 0.00 3.92
-1.58
-5.50
-4.84
-5.49 0.00
.13
-4.82
-5.52 0.00
.70
-4.82
-5.52 C1 1
-3.08
.05 0.00
.13
-3.09
.05 0.00
-3.14
-3.09
.05
-6.34
.05 0.00
.13
-6.34
.05 0.00
-6.39
-6.34
.05 C2 1
-2.59
.13 0.00
.13
-2.59
.14 0.00
-2.73
-2.59
.14
-5.85
.13 0.00
.13
-5.85
.14 0.00
-5.98
-5.85
.14 C3 1
-5.30
-4.31 0.00
.13
-5.31
-4.30 0.00
-1.02
-5.31
-4.30
-8.56
-4.31 0.00
.13
-8.56
-4.31 0.00
-3.22
-2.14 1.08 C4 1
-2.14 1.07 0.00
.13
-2.14 1.08 0.00
-3.22
-2.14 1.08
-5.40 1.07 0.00
.13
-5.40 1.07 0.00
-6.47
-5.40 1.07 D1 1
-1.65
.25 0.00
.13
-1.66
.26 0.00
-1.92
-1.66
.26
-4.91
.25 0.00
.13
-4.91
.26 0.00
-5.17
-4.91
.26 D2 1
-1.67
.99 0.00
.13
-1.68 1.00 0.00
-2.67
-1.68 1.00
-4.93
.99 0.00
.13
-4.93
.99 0.00
-5.93
-4.93
.99 D3 1
-.48 1.76 0.00
.13
-.49 1.77 0.00
-2.26
-.49 1.77
-3.74 1.76 0.00
.13
-3.74 1.77 0.00
-5.51
-3.74 1.77 E1 1
-.80 2.03 0.00
.13
-.81 2.03 0.00
-2.84
-.81 2.03
-4.06 2.03 0.00
.13
-4.06 2.03 0.00
-6.09
-4.06 2.03 E2 1
-.59 1.86 0.00
.13
-.60 1.86 0.00
-2.46
-.60 1.86
-3.85 1.86 0.00
.13
-3.86 1.86 0.00
-5.71
-3.86 1.86 H1 1
-1.60 2.70 0.00
.13
-1.61 2.70 0.00
-4.31
-1.61 2.70
-4.86 2.70 0.00
.13
-4.86 2.70 0.00
-7.56
-4.86 2.70 I1 1
-1.02 2.84 0.00
.13
-1.03 2.84 0.00
-3.87
-1.03 2.84
-4.28 2.84 0.00
.13
-4.28 2.84 0.00
-7.12
-4.28 2.84 I2 1 1.18 1.52 0.00
.13 1.14 1.57 0.00
-.43 1.14 1.57
-2.08 1.52 0.00
. 13
-2.08 1.53 0.00
-3.61
-2.08 1.53 S1 1 1.15 2.03 0.00
. 44
.97 2.21 0.00
-1.24
.97 2.21
-5.79 2.03 0.00
.44
-5.81 2.05 0.00
-7.87
-5.81 2.05 S2 1
-2.53 2.03 00.0
-.18
-2.54 2.04 0.00
-4.57
-2.54 2.04 02.11 2.03 0.00
-.18
-2.12 2.04 0.00
-4.15.
-2.12 2.04
WSES-FSAR-UNIT-3 3.9D-8 TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIES AT THE OUTSIDE WALL OF CUT F TOTAL STRESSES PRINCIPAL STRESSES STRESS INTENSITIES TRN SX1 ST1 SR1 TXT1 S1 S2 S3 S1-S2 S1-S2 S2-S3 A1 1 5.96 4.88 2.25
.13 6.00 4.86
-2.25 1.14 8.25 7.11
-2.72 4.88 2.25
.13 2.71 4.88
-2.25
-2.17
-4.96 7.13 B1 1 4.77 6.15
.01
.13 4.76 6.16
-.01
-1.40 4.77 6.17 1.51 6.15
.01
.13 1.51 6.16
-.01
-4.64 1.52 6.17 C1 1 9.74 10.47 2.25
.13 9.71 10.49
-2.25
-.78 11.96 12.74 6.48 10.47 2.25
.13 6.47 10.47
-2.25
-4.00 8.72 12.72 C2 1 9.25 9.98 2.35
.13 5.99 9.99
-2.35
-.78 11.58 12.35 5.99 9.98 2.35
.13 5.99 9.99
-2.35
-4.00 8.72 12.72 C3 1 11.02 11.74 1.73
.13 11.00 11.77
-1.73
-.77 12.73 13.50 7.76 11.74 1.73
.13 11.00 11.75
-1.73
-.77 12.73 13.50 C4 1 8.88 8.60 2.30
.13 8.93 8.55
-2.30
.38 11.23 10.85 5.62 8.60 2.30
.13 8.93 8.61
-2.30
-3.00 7.91 10.91 D1 1 7.79 8.26 1.99
.13 7.76 8.29
-1.99
-.53 9.75 10.28 4.53 8.26 1.99
.13 4.53 8.26
-1.99
-3.73 6.52 10.25 D2 1 8.26 9.12 2.25
.13 8.24 9.14
-2.25
-.90 10.49 11.39 5.00 9.12 2.25
.13 5.00 9.13
-2.25
-4.13 7.25 11.38 D3 1 6.71 7.33 2.00
.13 6.69 7.35
-2.00
-.67 8.69 9.35 3.45 7.33 2.00
.13 3.45 7.33
-2.00
-3.88 5.45 9.33 E1 1 7.50 8.07 2.35
.13 7.47 8.10
-2.35
-.63 9.82 10.45 4.24 8.07 2.35
.13 4.23 8.08
-2.35
-3.85 6.58 10.43 E2 1 7.00 7.39 2.15
.13 6.96 7.42
-2.15
-.47 9.11 9.57 3.74 7.39 2.15
.13 3.73 7.39
-2.15
-3.66 5.88 9.54 H1 1 9.43 10.73 3.13
.13 9.42 10.75
-3.13
-1.33 12.54 13.87 8.17 10.73 3.13
.13 6.17 10.74
-3.13
-4.57 9.29 13.86 I1 1 7.60 6.49 2.25
.13 4.33 6.48
-2.25 1.14 9.86 8.73 4.34 6.49 2.25
.13 7.61 6.50
-2.25
-2.17 6.58 8.75 I2 1 5.28 8.77 2.25
.13 5.28 8.77
-2.25
-3.49 7.53 11.02 2.02 8.77 2.25
. 13 2.02 8.77
-2.25
-6.75 4.27 11.02 S1 1 9.19 8.09 2.35
. 44 9.35 7.93 2.35 1.42 11.70 10.28 2.25 8.09 2.35
.44 2.22 8.12 2.35
-5.90 4.57 10.47 S2 1 5.51 8.09 2.35
-.18 5.50 8.10 2.35
-2.60 7.85 10.45 5.93 8.09 2.35
-.18 5.92 8.10 2.35
-2.18.
-8.27 10.45
WSES-FSAR-UNIT-3 3.9D-9 RANGE OF STRESS CRITERIA MIN MAX RANGE
-4.5731 3.9177 8.4908 S1-S2 OUTSIDE
-5.3145 1.1392 8.4537 S1-S3 OUTSIDE
-5.4954 4.4562 9.9516 S2-S3 OUTSIDE
-3.4904 1.4160 4.9064 S1-S2 INSIDE 4.7725 12.7311 7.9586 S1-S3 INSIDE 6.1742 13.8722 7.5980 S2-S3 INSIDE
-7.8683
.6992 8.5675 S1-S2 OUTSIDE
-8.5616
-2.0815 6.4801 S1-S3 OUTSIDE
-5.5161 4.4542 9.9704 S2-S3 OUTSIDE
-6.7458
-2.1704 4.5754 S1-S2 INSIDE 1.5210 9.4896 7.9686 S1-S3 INSIDE 6.1657 13.8631 7.6974 S2-S3 INSIDE
WSES-FSAR-UNIT-3 3.9D-10 PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIES AT THE OUTSIDE WALL OF CUT F PEAK STRESSES PRINCIPAL STRESSES STRESS INTENSITIES TRN SX0 ST0 SR0 S1 S2 S3 S1-S2 S1-S2 S2-S3 A1
.59 4.45 0.00
.59 4.46 0.00
-3.86
.59 4.45
-2.67 4.45 0.00
-2.67 4.45 0.00
-7.12
-2.67 4.45 B1
-1.58
-5.49 0.00
-1.58
-5.49 0.00 3.91
-1.56
-5.49
-4.84
-5.49 0.00
-4.84
-5.49 0.00
.65
-4.84
-5.49 C1
-3.08
.05 0.00
-3.08
.05 0.00
-6.39
-6.34
.05
-6.34
.05 0.00
-6.34
.05 0.00
-6.39
-6.34
.05 C2
-2.59
.13 0.00
-2.59
.13 0.00
-2.72
-2.59
.13
-5.85
.13 0.00
-5.85
.13 0.00
-5.98
-5.85
.13 C3
-5.30
-4.31 0.00
-5.30
-4.31 0.00
-.98
-5.30
-4.31
-8.56
-4.31 0.00
-8.56
-4.31 0.00
-4.24
-8.56
-4.31 C4
-2.14 1.07 0.00
-2.14 1.07 0.00
-3.21
-2.14 1.07 5.40 1.07 0.00
-5.40 1.07 0.00
-6.47
-5.40 1.07 D1
-1.65
.25 0.00
-1.65
.25 0.00
-1.90
-1.65
.25
-4.91
.25 0.00
-4.91
.25 0.00
-5.16
-4.91
.25 D2 1.67
.99 0.00
-1.67
.99 0.00
-2.66
-1.67
.99
-4.93
.99 0.00
-4.93
.99 0.00
-5.92
-4.93
.99 D3
-.48 1.76 0.00
-.48 1.76 0.00
-2.24
-.48 1.76
-3.74 1.76 0.00
-3.74 1.76 0.00
-5.50
-3.74 1.76 E1
-.80 2.03 0.00
-.80 2.03 00.0
-2.83
-.80 2.03
-4.06 2.03 0.00
-4.06 2.03 0.00
-2.83
-.80 2.03 E2
-.59 1.86 0.00
-.59 1.86 0.00
-2.45
-.59 1.86
-3.86 1.86 0.00
-3.85 1.86 0.00
-5.71
-3.85 1.86 H1
-1.60 2.70 0.00
-1.60 2.70 0.00
-4.30
-1.60 2.70
-4.86 2.70 0.00
-4.86 2.70 0.00
-7.56
-4.86 2.70 I1
-1.02 2.84 0.00
-1.02 2.84 0.00
-3.86
-1.02 2.84
-4.28 2.84 0.00
-4.28 2.84 0.00
-7.12
-4.28 2.84 I2 1.18 1.52 0.00 1.18 1.52 0.00
-.34 1.18 1.52
-2.08 1.52 0.00
-2.08 1.52 0.00
-3.60
-2.08 1.52 S1 1.15 2.03 0.00 1.15 2.03 0.00
-.88 1.15 2.03
-5.79 2.03 0.00
-5.79 2.03 0.00
-7.82
-5.79 2.03 S2
-2.53 2.03 0.00
-2.53 2.03 0.00
-4.56
-2.53 2.03
-2.11 2.03 0.00
-2.11 2.03 0.00
-4.14
-2.11 2.03
WSES-FSAR-UNIT-3 3.9D-11 PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIES AT THE INSIDE WALL OF CUT F PEAK STRESSES PRINCIPAL STRESSES STRESS INTENSITIES TRN SX0 ST0 SR0 S1 S2 S3 S1 - S2 S1 - S3 S2 - S3 A1 3.81 1.04 2.25 3.81 1.04
-2.25 2.77 6.06 3.29
-.88 1.04 2.25
-.88 1.04
-2.25
-1.92 1.37 3.29 B1 18.28 16.41
.01 18.28 16.41
-.01 1.87 18.29 16.42 13.59 16.41
.01 13.59 16.41
-.01
-2.82 13.60 16.42 C1 15.21 12.43 2.25 15.21 12.43
-2.25 2.78 17.46 14.68 10.51 12.43 2.25 10.51 12.43
-2.25 2.78 12.76 14.68 C2 25.82 20.84 2.35 25.82 20.84
-2.35 4.98 28.17 23.19 21.13 20.84 2.35 21.13 20.84
-2.35
.29 23.48 23.19 C3 25.52 21.16 1.73 25.52 21.16
-1.73 4.36 27.25 22.89 20.83 21.16 1.73 20.83 21.16
-1.73
-.34 22.56 22.89 C4 3.42 2.02 2.30 3.42 2.02
-2.30 1.40 5.72 4.32
-1.27 2.02 2.30
-1.27 2.02
-2.30
-3.29 1.03 4.32 D1 14.26 11.47 1.99 14.26 11.47
-1.99 2.80 16.25 13.46 9.57 11.47 1.99 9.57 11.47
-1.99
-1.90 11.56 13.46 D2 12.61 10.44 2.25 12.61 10.44
-2.25 2.18 14.86 12.69 7.92 10.44 2.25 7.92 10.44
-2.25
-2.52 10.17 12.69 D3 7.39 5.98 2.00 7.39 5.98
-2.00 1.41 9.39 7.98 2.69 5.98 2.00 2.69 5.98
-2.00
-3.29 4.69 7.98 E1 1.29 1.15 2.35 1.29 1.15 2.35
-4.55
-1.05 3.50
-3.40 1.15 2.35
-3.40 1.15 2.35
-4.55
-1.05 3.50 E2 19.58 15.36 2.15 19.58 15.36
-2.15 4.22 21.73 17.51 14.88 15.36 2.15 14.88 15.36
-2.15
-.47 17.03 17.51 H1 13.58 11.46 3.13 13.58 11.46
-3.13 2.12 16.70 14.59 8.88 11.46 3.13 8.88 11.46
-3.13
-2.58 12.01 14.59 I1 8.61 5.03 2.25 8.61 5.03
-2.25 3.58 10.86 7.28
-3.92 5.03 2.25 3.92 5.03
-2.25
-1.11 6.17 7.28 I2 9.94 11.07 2.25 9.94 11.07
-2.25
-1.13 12.19 13.32 5.24 11.07 2.25 5.24 11.07
-2.25
-5.83 7.49 13.32 S1 13.24 8.62 2.35 13.24 8.62
-2.35 4.62 15.59 10.97 3.25 8.62 2.35 3.25 8.62
-2.35
-5.37 5.60 10.97 S2 7.94 8.62 2.35 7.94 8.62
-2.35
-.68 10.29 10.97 8.55 8.62 2.35 8.55 8.62
-2.35
-.07 10.90 10.97
WSES-FSAR-UNIT-3 3.9D-12 SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
B 1
3.91 0.
3.91
-4.56 8.47 4.23
- 02097152.
500.
0.000000 1
2
-.34 200.
S 1
-.88
-300.
C 3
-.98 30500.
D 1
-1.90 25000.
E 2
-2.45 945000.
D 2
-2.66 25000.
E 1
-2.83 945000.
C 4
-3.21 30500.
A 1
-3.86 500.
I 1
-3.86 200.
H 1
-4.30 10.
S 2
-4.56 1500.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
I 2
1.18 0.
1.18
-5.30 6.48 3.24
- 2097152.
200.
0.000000 S
1 1.15 200.
A 1
.59 500.
D 3
-.48 25000.
E 2
-.59 945000.
E 1
-.80 945000.
I 1
-1.02 0.
B 1
-1.58 500.
H 1
-1.60 10.
D 2
-1.67 25000.
C 4
-2.14 30300.
S 2
-2.53 2000.
C 3
-5.30 30300.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
A 1
4.45 0.
4.45
-5.49 9.94 4.97
- 02097152.
500.
0.000000 I
1 2.84 200.
H 1
2.70 10.
S 2
2.03 2000.
S 1
2.03 200.
E 1
2.03 945000.
E 2
1.86 945000.
D 3
1.76 25000.
I 2
1.52 200.
C 4
1.07 30500.
D 1
.25 25000.
C 3
-4.31 30500.
B 1
-5.49 0.
WSES-FSAR-UNIT-3 3.9D-13 SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C 2
4.98 30300.
4.98
-1.13 6.11 3.06
- 02097152.
200.
0.000000 S
1 4.62 200.
E 2
4.22 945000.
I 1
3.58 0.
D 1
2.80 25000.
A 1
2.77 500.
H 1
2.12 10.
B 1
1.87 500.
D 3
1.41 25000.
C 4
1.40 30300.
E 1
945000.
S 2
2000.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C 2
28.17 0.
28.17 3.64 24.53 12.27
- 2097152.
30500.
0.000000 E
2 21.73 914500.
B 1
18.29 500.
H 1
16.70 10.
D 1
16.25 25000.
S 1
15.59 200.
I 2
12.19 200.
I 1
10.86 200.
S 2
10.29 2000.
D 3
9.39 25000.
A 1
8.06 500.
C 4
5.72 0.
E 1
3.64 914500.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C 2
23.19 30000.
23.19 3.29 19.90 9.95
- 02097152.
500.
0.000000 E
2 17.51 945000.
B 1
16.42 500.
H 1
14.59 10.
D 1
13.46 25000.
I 2
13.32 200.
S 1
10.97 200.
S 2
10.97 2000.
D 3
7.98 25000.
I 1
7.28 200.
C 4
4.32 30000.
E 1
3.50 945000.
A 1
3.29 0.
WSES-FSAR-UNIT-3 3.9D-14 SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
B
-1
.65 300.
.65
-7.82 8.47 4.23
- 2097152.
200.
0.000000 I
-2
-3.60 200.
S
-2
-4.14 0.
C
-3
-4.24 30500.
D
-1
-5.16 25000.
E
-2
-5.71 945000.
D
-2
-5.92 25000.
E
-1
-6.09 945000.
C
-4
-6.47 30500.
A
-1
-7.12 500.
I
-1
-7.12 200.
H
-1
-7.56 10.
S
-1
-7.82 0.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
I
-2
-2.08 0.
-2.08
-8.56 6.48 3.24
- 02097152.
200.
0.000000 S
-2
-2.11 2000.
A
-1
-2.67 500.
D
-3
-3.74 25000.
E
-2
-3.85 945000.
E
-1
-4.06 945000.
I
-1
-4.28 0.
B
-1
-4.84 500.
H
-1
-4.86 10.
D
-2
-4.93 25000.
C
-4
.40 30300.
S
-1
.79 200.
C
-3
-8.56 30300.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
A
-1 4.45 0.
4.45
-5.49 9.94 4.97
- 02097152.
500.
0.000000 I
-1 2.84 200.
H
-1 2.70 10.
S
-1 2.03 200.
S
-2 2.03 2000.
E
-1 2.03 945000.
E
-2 1.86 945500.
D
-3 1.76 25000.
I
-2 1.52 200.
C
-4 1.07 30500.
D
-1
.25 25000.
C
-3
-4.31 30500.
B
-1
-5.49 0.
WSES-FSAR-UNIT-3 3.9D-15 SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C
-2
.29 30300.
.29
-5.83 6.11 3.06
- 02097152.
200.
0.000000 S
-2
-.07 2000.
E
-2
-.47 945000.
I
-1
-1.11 0.
D
-1
-1.90 25000.
A
-1
-1.92 500.
H
-1
-2.58 10.
B
-1
-2.82 500.
D
-3
-3.29 25000.
C
-4
-3.29 30300.
E
-1
-4.55 945000.
S
-1
-5.37 200.
I
-2
-5.83 0.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C
-2 23.48 0.
23.48
-1.05 24.53 12.27
- 02097152 30500.
0.000000 E
-2 17.03 914500.
B
-1 13.60 500.
H
-1 12.01 10.
D
-1 11.56 25000.
S
-2 10.90 2000.
I
-2 7.49 200.
I
-1 6.17 200.
S
-1 5.60 200.
D
-3 4.69 25000.
A
-1 1.37 500.
C
-4 1.03 0.
E
-1
-1.05 914500.
SUM USE.FAC= 0.000000 CYCLIC STRESSES AND CORRESPONDING USAGE FACTORS TN S PEAK N SPEC S MAX S MIN SR SA N ALL N LIFE U
C
-2 23.19 30000.
23.19 3.29 19.90 9.95
- 02097152.
500.
0.000000 E
-2 17.51 945000.
B
-1 16.42 500.
H
-1 14.59 10.
D
-1 13.46 25000.
I
-2 13.32 200.
S
-1 10.97 200.
S
-2 10.97 2000.
D
-3 7.98 25000.
I
-1 7.28 200.
C
-4 32 30000.
E
-1 0
94500.
A
-1
-3.29 0.
WSES-FSAR-UNIT-3 3.9D-16 ATTACHMENT II TABULATION OF
SUMMARY
OF VERIFICATION RESULTS BC 10286 SUPPORT SKIRT LOADING
WSES-FSAR-UNIT-3 3.9D-17 PROBLEM #1 COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTION SKIRT STRESSES COMPUTER SOLUTION CLASSICAL SOLUTION Loc. A Max. Moment:
m
-9.20
-9.20 B
-20.55
-20.55
-29.75
-29.75
3.22 3.22 S
30.44 30.44 Loc. B Max. Moment:
m
-9.20
-9.20 B
20.55 20.55
11.35 11.55
3.43 3.44 S
13.27 13.27 Loc. A Max. Shear:
m
-9.20
-9.20 B
-18.19
-18.19
-27.39
-27.39
3.65 3.65
28.34 28.35 Loc. B Max. Shear:
m
-9.20
-9.20 B
18.19 18.19
8.99 8.99
3.87 3.87 S
11.86 11.86 FLANGE STRESSES Bolt Load 123.81 125.64 Bolt Stress 31.14 31.60 FLANGE STRESSES:
B 15.17 15.39
8.44 8.56 T
0.05 0.05 S Surface 15.17 15.39 Mid-Surface 8.44 8.56 This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-3 3.9D-18 PROBLEM #2 COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTION SKIRT STRESSES COMPUTER SOLUTION CLASSICAL SOLUTION Loc. A Max. Moment:
m
-1.73
-1.73 B
-24.82
-24.82
-26.55
-26.55
0.23 0.23 S
26.55 26.55 Loc. B Max. Moment:
m
-1.73
-1.73 B
+24.82
+24.82
23.09 23.09
0.60 0.61
23.12 23.12 Loc. A Max. Shear:
m
-1.73
-1.73 B
-5.91
-5.93
-7.64
-7.66
1.57 1.56
8.26 8.27 Loc. B Max. Shear:
m
-1.73
-1.73 B
+5.91
+5.93
+4.17
+4.20
1.94 1.94 S
5.70 5.72 FLANGE STRESSES Bolt Load 150.35 150.24 Bolt Stress 43.66 43.63
WSES-FSAR-UNIT-3 3.9D-19 SKIRT STRESSES (Contd)
FLANGE STRESSES (Contd)
COMPUTER SOLUTION CLASSICAL SOLUTION B
31.76 31.74
13.62 13.61 T
0.09 0.09 S Surface 31.76 31.74 Mid-Surface 13.62 13.61 This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-3 3.9D-20
SUMMARY
OF THE METHODS EMPLOYED TO VERIFY THE CESHOCK CODE TYPE OF CECHOCK PROBLEM METHOD OF VERIFICATION I. NONLINEAR, DAMPED PULSE EXCITED SYSTEM PUBLISHED CLASSICAL SOLUTION A. DEGREE OF NONLINEARITY VARIED (DUFFING OSCILLATOR)
B. TYPE OF PULSE VARIED II. MULTI-DEGREE OF FREEDOM BASE EXITED INDEPENDENT COMPUTER CODE LATERAL SYSTEM WITH FRICTION, GAPS, AND DAMPING A. WITHOUT HYDRODYNAMIC MASS B. WITH HYDRODYNAMIC MASS III. FRICTION ELEMENT WITH STATIC AND ANALYTICAL SOLUTION DYNAMIC COEFFICIENTS OF FRICTION A. COEFFICIENT OF FRICTION VELOCITY NON-DEPENDENT B. COEFFICIENT OF FRICTION VELOCITY DEPENDENT IV.IMPACT ELEMENT WITH COEFFICIENT OF ANALYTICAL SOLUTION RESTITUTION V. HYSTERESIS ELEMENT:
INDEPENDENT COMPUTER CODE TWO DOF SYSTEM WITH SPRING AND GAP ELEMENTS
0.
-0.
-0.
NONLINEAR, DAMPED PULSE EXCITED SYSTEM DUFFING OSCILLATOR itO.li+x(l+x3~cosa TIME, SEC o CESHOCK
II 500 100 BASE EXCITATION PROBLEM INCLUDES, DAMPING, GAPS HYDRODYNAMIC MASS CESHOCK BASE TIME HISTORY 0 10 BASE 10 15 TIME 20
ELEMENT WITH COEFFICIENT OF COEFFICIENTOF RES JITUTION 60 SECONDS
TWO DEGREE OF FREEDOM PROBLEM WITH GAPS
+
2 DISP. NODE3 I
SEC